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Finding the Third Proportional to 913.22 and 1,380.94

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Solution

The third proportional to 913.22 and 1,380.94 is: 2,088.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.22 : 1,380.94 = 1,380.94 : x
  2. Step 2: Convert to fraction form
    913.22/1,380.94 = 1,380.94/x
  3. Step 3: Cross multiply
    913.22x = 1,380.94 × 1,380.94
  4. Step 4: Simplify right side
    913.22x = 1,906,988.38
  5. Step 5: Solve for x
    x = 1,906,988.38/913.22
  6. Step 6: Final answer
    x = 2,088.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.